2. A small lake of volume 100 cubic meters has accidentally been polluted by 10 000 kilograms of a highly toxic substance. A river flows into and out of the lake at a rate of 20 000 cubic meters per hour. Assuming that the entering river contains fresh water and that the toxic substance is fully mixed throughout the lake at all times. find the number of hours for the mass of the pollutant to decrease to an acceptable 100 kilograms.

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Chapter64: Volumes Of Spheres And Composite Solid Figures
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2. A small lake of volume 10 cubic meters has accidentally been polluted by 10 000 kilograms of
a highly toxic substance. A river flows into and out of the lake at a rate of 20000 cubic meters
per hour. Assuming that the entering river contains fresh water and that the toxic substance
is fully mixed throughout the lake at all times, find the number of hours for the mass of the
pollutant to decrease to an acceptable 100 kilograms.
Transcribed Image Text:2. A small lake of volume 10 cubic meters has accidentally been polluted by 10 000 kilograms of a highly toxic substance. A river flows into and out of the lake at a rate of 20000 cubic meters per hour. Assuming that the entering river contains fresh water and that the toxic substance is fully mixed throughout the lake at all times, find the number of hours for the mass of the pollutant to decrease to an acceptable 100 kilograms.
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